notes/uni/mmme/2046_dynamics_and_control/stability.md

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Akbar Rahman \today MMME2046 // Stability
2b0062f7-cc8a-4e52-8e12-1eb731e056af ./lecture_slides/Control 2 2022.pdf

Introduction to Transient and Steady-State Responses

A stable system settles. An unstable system has increasing amplitude in its fluctuations.

The steady-state error is how accurate a system will be once settled.

If we subject control systems to standard input we can compare and tune their performance.

Consider three inputs:

i. step input ii. ramp input (linear change with time) iii. harmonic input (considered in vibration)

These inputs are useful because they

  • are easily to apply in practice
  • approximate to operating conditions in control systems

Practical Measurement of Transient Response

a. maximum overshoot b. number of oscillations c. rise time d. settling time e. steady state error